Home » A Group Decision-Making Model Based on Regression Method with Hesitant Fuzzy Preference Relations

TITLE

A Group Decision-Making Model Based on Regression Method with Hesitant Fuzzy Preference Relations

AUTHOR(S)

Xue, Min; Du, Yifei

PUB. DATE

January 2017

SOURCE

Mathematical Problems in Engineering;1/3/2017, p1

SOURCE TYPE

Academic Journal

DOC. TYPE

Article

ABSTRACT

In recent years, the decision-making models with hesitant fuzzy preference relations (HFPRs) have received a lot of attention by some researchers. Meanwhile, the previous studies normally adopt normalization technical means to ensure the same number for all elements, which biases original information of decision-makers. In order to overcome this problem, in this paper, the multiplicative consistency of HFPRs is defined and the highest consistent reduced HFPRs are obtained by means of fuzzy linear programming method from given HFPRs. The proposed regression method eliminates the unreasonable information and retains the reasonable information from a given HFPR. In addition, the proposed method overcomes drawbacks of Zhu and Xuâ€™s regression method and is more simple and effective. On account of the obtained reduced HFPRs by the proposed regression method, a GDM model is established. Finally, a supplier selection problem was researched to present the effectiveness and pragmatism of the proposed approach, which proved that the method could offer beneficial insights into the GDM procedure.